In addition, the second part of the book covers problems on Convolution and Fourier integrals/sums of typical functions used in signal processing.

Author: Robert Sobot

Publisher: Springer Nature

ISBN: 9783030795450

Category: Electronic books

Page: 474

View: 223

This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that will be essential in future studies and engineering practice. Rigor and mathematical formalism is drastically reduced, while the main focus is on developing practical skills and techniques for solving mathematical problems, given in forms typically found in engineering and science. These practical techniques cover the subjects of algebra, complex algebra, linear algebra, and calculus of single and multiple argument functions. In addition, the second part of the book covers problems on Convolution and Fourier integrals/sums of typical functions used in signal processing. Offers a large collection of progressively more sophisticated mathematical problems on main mathematical topics required for engineers/scientists; Provides, at the beginning of each topic, a brief review of definitions and formulas that are about to be used and practiced in the following problems; Includes tutorial-style, complete solutions, to all problems.

8.21 EXAMPLE 8.100 Evaluate ( x2 + yz ) dz , where C is the curve s с defined by x = t , y = 1 , z = 3t for t lying in the interval 1 < t≤ 2 . Solution . The parametric equation of the curve C are x = t , y = t2 and z = 3t .

A subset of sample space is called an event . A set of events is said to be exhaustive if it consider all the possible events . For example , in tossing a coin , the exhaustive events are head and tail . If the occurrence of one of the ...

Author: Debashis Dutta

Publisher: New Age International

ISBN: 8122416896

Category:

Page: 954

View: 131

This Thoroughly Revised Edition Is Designed For The Core Course On The Subject And Presents A Detailed Yet Simple Treatment Of The Fundamental Principles Involved In Engineering Mathematics. All Basic Concepts Have Been Comprehensively Explained And Illustrated Through A Variety Of Solved Examples. Instead Of Too Much Mathematically Involved Illustrations, A Step-By-Step Approach Has Been Followed Throughout The Book. Unsolved Problems, Objective And Review Questions Along With Short Answer Questions Have Been Also Included For A Thorough Grasp Of The Subject. Graded Problems Have Been Included From Different Examinations.The Book Would Serve As An Excellent Text For Undergraduate Engineering And Diploma Students Of All Disciplines. Amie Candidates Would Also Find It Very Useful. The Topics Given In This Book Covers The Syllabuses Of Various Universities And Institutions E.G., Various Nit S, Jntu, Bit S Etc.

Author: Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N.Publish On:

Size of population is denoted by N. Examples: If there are 600 students in the school that we classified according to blood type, we say that we have a population of size 600. The numbers on the cards in a deck, the heights of residents ...

This book supplies worked solutions to a wide variety of examination questions in engineering mathematics.

Author: L. R. Mustoe

Publisher:

ISBN: UOM:39015011178327

Category: Mathematics

Page: 130

View: 436

Worked examples are an extremely useful means by which students can improve their understanding of mathematics and their ability to apply their skills to non-standard problems. This book supplies worked solutions to a wide variety of examination questions in engineering mathematics.

564 Example 27. Prove that () G = It V2 1 Solution. Putting n = - A Textbook on Engineering Mathematics — I I in result of example I7, we obtain = |G|G)- * Goo Proved. - 2 1 Example 28. Prove that s - 4 " V1 v4 4 3 4 (K. University, ...

Author: H K Dass

Publisher: S. Chand Publishing

ISBN: 9788121935555

Category: Mathematics

Page:

View: 592

This book is primarily written according to the syllabi for B.E./B.Tech. Students for I sem. of MDU, Rohtak and Kurushetra University . Special Features : Lucid and Simple Laguage |bjective Types Questions | Large Number of Solved Examples | Tabular Explanation of Specific Topics | Presentation in a very Systematic and logical manner.

This book offers a review of standard mathematics coursework while effectively integrating science and engineering throughout the text.

Author: Lawrence Turyn

Publisher: CRC Press

ISBN: 9781439834473

Category: Mathematics

Page: 1459

View: 463

Beginning with linear algebra and later expanding into calculus of variations, Advanced Engineering Mathematics provides accessible and comprehensive mathematical preparation for advanced undergraduate and beginning graduate students taking engineering courses. This book offers a review of standard mathematics coursework while effectively integrating science and engineering throughout the text. It explores the use of engineering applications, carefully explains links to engineering practice, and introduces the mathematical tools required for understanding and utilizing software packages. Provides comprehensive coverage of mathematics used by engineering students Combines stimulating examples with formal exposition and provides context for the mathematics presented Contains a wide variety of applications and homework problems Includes over 300 figures, more than 40 tables, and over 1500 equations Introduces useful MathematicaTM and MATLAB® procedures Presents faculty and student ancillaries, including an online student solutions manual, full solutions manual for instructors, and full-color figure sides for classroom presentations Advanced Engineering Mathematics covers ordinary and partial differential equations, matrix/linear algebra, Fourier series and transforms, and numerical methods. Examples include the singular value decomposition for matrices, least squares solutions, difference equations, the z-transform, Rayleigh methods for matrices and boundary value problems, the Galerkin method, numerical stability, splines, numerical linear algebra, curvilinear coordinates, calculus of variations, Liapunov functions, controllability, and conformal mapping. This text also serves as a good reference book for students seeking additional information. It incorporates Short Takes sections, describing more advanced topics to readers, and Learn More about It sections with direct references for readers wanting more in-depth information.

For example : (i) n(n + 1) is divisible by 2 Reasoning Inductive From Particular case to generalisation (ii) 32n – 1 is divisible by 8. Deductive From generalisation to particular case.

Author: H K DASS

Publisher: S. Chand Publishing

ISBN: 9788194771753

Category: Mathematics

Page: 423

View: 718

"Introduction to Engineering Mathematics" series is compiled specifically for the faculty and students at all engineering colleges of Dr A.P.J. Abdul Kalam Technical University (AKTU), Lucknow, UP along with other engineering institutes which might follow the same course pattern. With a completely new syllabus, the subject is fully covered in a single textbook. Therefore for "Integral Transform and Discrete Maths" students and faculties need not refer to multiple texts anymore. Replete with well-placed examples to complement the theory, the book enables students to learn effortlessly of so-called difficult topics as well.

In the next few examples , we show how to use these surface coordinates to evaluate surface integrals . • Example 4.5.4 = Let us find the flux of the vector field F = xi + yj + zk through the top of the plane 3x + 2y + z = 6 , which ...

Author: Dean G. Duffy

Publisher: CRC Press

ISBN: 9781000514261

Category: Mathematics

Page: 616

View: 711

In the four previous editions the author presented a text firmly grounded in the mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and serving for twenty-five years at (NASA) Goddard Space Flight, he combines a teaching and practical experience that is rare among authors of advanced engineering mathematics books. This edition offers a smaller, easier to read, and useful version of this classic textbook. While competing textbooks continue to grow, the book presents a slimmer, more concise option. Instructors and students alike are rejecting the encyclopedic tome with its higher and higher price aimed at undergraduates. To assist in the choice of topics included in this new edition, the author reviewed the syllabi of various engineering mathematics courses that are taught at a wide variety of schools. Due to time constraints an instructor can select perhaps three to four topics from the book, the most likely being ordinary differential equations, Laplace transforms, Fourier series and separation of variables to solve the wave, heat, or Laplace's equation. Laplace transforms are occasionally replaced by linear algebra or vector calculus. Sturm-Liouville problem and special functions (Legendre and Bessel functions) are included for completeness. Topics such as z-transforms and complex variables are now offered in a companion book, Advanced Engineering Mathematics: A Second Course by the same author. MATLAB is still employed to reinforce the concepts that are taught. Of course, this Edition continues to offer a wealth of examples and applications from the scientific and engineering literature, a highlight of previous editions. Worked solutions are given in the back of the book.

Example 6: Find L(4e "–2sin 5t-3 cos 21–2t'4-3t"} Solution: Here L (4e"—2sin 5t-3 cos 21–2t'4-3t"} =4L (e.” –2L (sin 5t; +3L (cos 2t) –2L (t') +3L (t"} –––––33–1–2P -olo p +3 p” +25 p” +4 p" p” - sint, 0 < t < T Example 7: Find L (F(t)} ...

Author: Bikas Chandra Bhui

Publisher: Vikas Publishing House

ISBN: 9789325984301

Category: Mathematics

Page:

View: 766

Engineering Mathematics II has been written for first year students of Calicut University. The book has been developed to facilitate physical interpretation of concepts and application of the various notions in engineering and technology. The solved examples given in the book are a significant value-addition. Author's long experience of teaching various grades of students has contributed towards the quality of this book. An emphasis on various techniques of solving complex problems will be of immense help to the students. KEY FEATURES • Brief but thorough discussion of theory • Examination-oriented approach • Techniques for solving difficult questions • Solutions to a large number of technical problems